Question

The age of father is equal to sum the ages of his 6 children after 15 years twice the age of Father will be the sum of ages of his children find the age of the father

Answer 1

6×15=90
2(x + 15)=(x +90)
2x +30=x +90
x=90-30
x=60

Answer 2

$\textbf{Answer}$

Suppose that father's present age = x years

Suppose that sum of present ages of children is y years.

So according to the question,

$\textbf{x = y}$ ---------(1)


After 15 years,
Father's age = (x + 15) years
Sum of children's age = y + (15×6)
=> Sum of children's age = (y + 90) years

Since after 15 years,
Twice the age of father is sum of ages of children.

=> 2 (x + 15) = (y + 90)

=> 2x + 30 = y + 90

=> $\textbf{2x - y = 60}$ ----------(2)

According to the equation (1),
x = y

So putting y = x in equation (2),

=> 2x - x = 60

=> x = 60

$\textbf{So the present age of father is 60 years}$


$\textbf{Hope It Helps}$

$\textbf{Thanks}$